In a circular race of 800 m length, Ram and Mohan start at speeds of 25 m/sec and 40m/sec, respectively, at the same time from the same point. After how much time will they meet for the first time at the starting point, when running in the same direction?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e.160 seconds.
Race length = 800 m
Ram speed = 25 m/s
Mohan speed = 40 m/s
Time for Ram to complete one lap = 800 / 25 = 32 s
Time for Mohan to complete one lap = 800 / 40 = 20 s
They meet at starting point after LCM of 32 and 20 seconds.
LCM(32, 20) = 160 seconds